20 questions in 15 minutes on percentage, profit and loss, simple and compound interest, ratio and proportion, averages, time and work, time and distance, mensuration, LCM and HCF, and simplification.
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Quantitative Aptitude – Sectional Test
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- The test contains 20 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 15 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
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This free practice set from AndamanJobs has 20 questions to be solved in 15 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- A and B can do a work in 16 and 48 days respectively. They work together for 2 days and then A leaves. In how many more days will B finish the remaining work?
- A. 36 days
- B. 42 days
- C. 34 days
- D. 40 days
Show answer and explanation
Answer: D. 40 days
Work done in 2 days = 2 × 1/12 = 1/6. Remaining = 5/6. B takes 5/6 × 48 = 40 days.
- First and second numbers are less than a third number by 20% and 40% respectively. The second number is less than the first by:
- A. 4%
- B. 7%
- C. 3%
- D. 25%
Show answer and explanation
Answer: D. 25%
Let the third number be 100. First = 80, second = 60. Second is less than first by 20/80 = 25%.
- A train starts from A at 7 a.m. towards B with speed 50 km/h. Another train starts from B at 8 a.m. with speed 60 km/h towards A. Both of them meet at 10 a.m. at C. The ratio of the distance AC to BC is :
- A. 4 : 5
- B. 5 : 6
- C. 5 : 4
- D. 6 : 5
Show answer and explanation
Answer: C. 5 : 4
Train A runs 3 hours at 50 km/h = 150 km. Train B runs 2 hours at 60 km/h = 120 km. AC : BC = 150 : 120 = 5 : 4.
- Pipes A and B can fill a tank in 24 and 48 hours. Both are opened together, and after 5 hours pipe A is closed. How many hours in all will the tank take to fill?
- A. 34 hours
- B. 42 hours
- C. 38 hours
- D. 36 hours
Show answer and explanation
Answer: C. 38 hours
Part filled in 5 hours = 5/16. Remaining 11/16 is filled by B in 33 hours. Total = 5 + 33 = 38 hours.
- In a 729 litres mixture of milk and water the ratio of milk to water is 7:2 . To get a new mixture containing milk and water in the ratio 7:3 , the amount of water to be added is :
- A. 71 litres
- B. 50 litres
- C. 56 litres
- D. 81 litres
Show answer and explanation
Answer: D. 81 litres
Milk = 7/9 of 729 = 567 L and water = 162 L. For 7 : 3 the water must be 243 L, so add 81 L.
- The area of a circle of radius 7 cm is approximately:
- A. 164 sq cm
- B. 132 sq cm
- C. 144 sq cm
- D. 154 sq cm
Show answer and explanation
Answer: D. 154 sq cm
22/7 x 7 x 7 = 154 sq cm.
- Pipe A can fill a tank in 39 hours and pipe B in 78 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 25 hours
- B. 23 hours
- C. 26 hours
- D. 24 hours
Show answer and explanation
Answer: C. 26 hours
Part filled in 1 hour = 1/39 + 1/78 = 1/26. Time = 26 hours.
- Rs 3600 is divided among A, B and C in the ratio 2 : 3 : 5. How much does C get?
- A. Rs 1980
- B. Rs 1800
- C. Rs 1620
- D. Rs 1440
Show answer and explanation
Answer: B. Rs 1800
Total parts = 10, one part = 3600/10 = 360. C gets 5 × 360 = Rs 1800.
- A boat takes 4 hours to go downstream and 6 hours to cover the same distance upstream. If the stream flows at 6 km/h, find the speed of the boat in still water.
- A. 30 km/h
- B. 32 km/h
- C. 28 km/h
- D. 34 km/h
Show answer and explanation
Answer: A. 30 km/h
Same distance: (b + 6) × 4 = (b - 6) × 6. This gives b = 6 × (4 + 6)/(6 - 4) = 30 km/h.
- Find x if 3 : 8 = 15 : x.
- A. 52
- B. 44
- C. 40
- D. 48
Show answer and explanation
Answer: C. 40
x = 8 × 15/3 = 40.
- Convert 90 km/h into m/s.
- A. 19 m/s
- B. 25 m/s
- C. 21 m/s
- D. 23 m/s
Show answer and explanation
Answer: B. 25 m/s
90 km/h = 90 × 5/18 = 25 m/s.
- In what ratio must 25% of alcohol be mixed with 50% of alcohol to get a mixture of 40% strength alcohol ?
- A. 3:2
- B. 2:3
- C. 1:2
- D. 2:1
Show answer and explanation
Answer: B. 2:3
By alligation, the ratio = (50 - 40) : (40 - 25) = 10 : 15 = 2 : 3.
- A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days, A can finish the remaining work in :
- A. 3 days
- B. 7 days
- C. 11 days
- D. 5 days
Show answer and explanation
Answer: D. 5 days
Work = 60 units; A does 3 and B does 5 a day. B in 9 days does 45. Remaining 15 at 3 a day = 5 days.
- A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is :
- A. 100
- B. 96
- C. 95
- D. 90
Show answer and explanation
Answer: B. 96
A takes 3 times as long as B + C, so A does 1/4 of the total rate. Total rate = 1/24, so A = 1/96. A takes 96 days.
- A swimmer's speed in still water is 24 km/h and the river flows at 2 km/h. How many minutes will he take to swim 40 km against the current?
- A. 79 1/11 minutes
- B. 89 1/11 minutes
- C. 99 1/11 minutes
- D. 109 1/11 minutes
Show answer and explanation
Answer: D. 109 1/11 minutes
Upstream speed = 24 - 2 = 22 km/h. Time = 40/22 hours = 1 9/11 × 60 = 109 1/11 minutes.
- Two trains 100 m and 150 m long move in opposite directions at 20 m/s and 30 m/s. How long to cross each other?
- A. 5 seconds
- B. 4 seconds
- C. 10 seconds
- D. 6 seconds
Show answer and explanation
Answer: A. 5 seconds
Combined length 250 m, relative speed 50 m/s, so 250 divided by 50 = 5 seconds.
- In what ratio must a grocer mix tea at Rs.60 a kg , and Rs.65 a kg, so that by selling the mixture at Rs. 68.20 a kg, he may gain 10%.
- A. 4:5
- B. 3:5
- C. 3:2
- D. 3:4
Show answer and explanation
Answer: C. 3:2
Selling price 68.20 with 10% gain means cost = Rs 62. By alligation, Rs 60 tea : Rs 65 tea = (65 - 62) : (62 - 60) = 3 : 2.
- In how many years will a sum of Rs. 800 at 10% per annum compound interest, compounded semi-annually, become Rs. 926.10 ?
- A. 2 1/2 years
- B. 1 2/3 years
- C. 1 1/2 years
- D. 2 1/3 years
Show answer and explanation
Answer: C. 1 1/2 years
926.10 / 800 = 1.157625 = (1.05)³. That is 3 half-years = 1 1/2 years.
- If A : B = 3 : 4, B : C = 7 : 8 and C : D = 2 : 5, find A : D.
- A. 80 : 21
- B. 21 : 80
- C. 43 : 160
- D. 21 : 40
Show answer and explanation
Answer: B. 21 : 80
A : D = (3 × 7 × 2) : (4 × 8 × 5) = 42 : 160 = 21 : 80.
- The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of students, appeared in the examination to that not appeared in the same examination is :
- A. 1:1
- B. 27:23
- C. 23:27
- D. 9:14
Show answer and explanation
Answer: C. 23:27
Take 3 boys : 2 girls. Appeared = 30% of 3 + 70% of 2 = 0.9 + 1.4 = 2.3. Not appeared = 5 - 2.3 = 2.7. Ratio = 23 : 27.
This section is 25 marks at Matric level (as Numerical Aptitude), 50 at Higher Secondary level and 40 in the police paper.
Aptitude is where negative marking does the most damage, because a wrong method produces a confident wrong answer that sits neatly in the options. If you cannot see the route to an answer in about twenty seconds, mark it for review and move on. Coming back with time in hand beats losing marks on a guess.
All tests are on the mock test page.